The winners of the London Mathematical Society Prizes for 2013 were announced at the Society meeting on 5 July 2013:

Professor Nick Trefethen has been awarded the Naylor Prize and Lectureship in Applied Mathematics on account of his exceptional contributions to Numerical Analysis and his undoubted ability to communicate this fascinating and central subject to a wider audience.

Professor Frances Kirwan is awarded a Senior Whitehead Prize for her work on geometric invariant theory and the geometry and topology of moduli spaces. Professor Kirwan has introduced many fundamental techniques and applied them to solve several outstanding problems, particularly involving moduli spaces of bundles.

Professor Fernando Alday is awarded a Whitehead Prize for his work on properties of supersymmetric gauge theory, and its connections with two dimensional conformal field theory and with string theory in anti-de-Sitter space.

Dr Tom Sanders is awarded a Whitehead Prize for his spectacular results in additive combinatorics and related areas. In particular he is recognised for his paper obtaining the best known upper bounds for sets of integers containing no 3-term arithmetic progressions, for his work dramatically improving bounds connected with Freiman's theorem on sets with small doubling, and for other results in additive combinatorics and harmonic analysis.

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